Finding the Third Proportional to 30,897 and 41,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,897 : 41,965.50 = 41,965.50 : x
2. Step 2: Convert to fraction form
   30,897/41,965.50 = 41,965.50/x
3. Step 3: Cross multiply
   30,897x = 41,965.50 × 41,965.50
4. Step 4: Simplify right side
   30,897x = 1,761,103,190.25
5. Step 5: Solve for x
   x = 1,761,103,190.25/30,897
6. Step 6: Final answer
   x = 56,999.16